Details

Time bar (total: 3.2s)

sample19.0ms

Algorithm
intervals
Results
8.0ms338×body80valid

simplify120.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0144
1284
2513
3903
41503
52143
63083
74473
85503
98653
1012313
1117253
1227283
1344663
1450013

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
5.4b
(/ (* (- y x) z) t)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
8×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×expm1-log1p-u fma-def times-frac associate-*r* associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 66
Calls
3 calls:
4.0ms
(+ x (/ (* (- y x) z) t))
10.0ms
(* (- y x) z)
6.0ms
(/ (* (- y x) z) t)

series112.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ x (/ (* (- y x) z) t))
28.0ms
(* (- y x) z)
45.0ms
(/ (* (- y x) z) t)

simplify37.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0296337
11154289
25002284

prune155.0ms

Filtered
75 candidates to 55 candidates (73.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
7.1b
(/ (- y x) (/ t z))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
89×*-un-lft-identity
87×add-sqr-sqrt
59×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv fma-def div-exp
2×pow1 expm1-log1p-u div-sub log1p-expm1-u associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 121
Calls
2 calls:
27.0ms
(+ x (/ (- y x) (/ t z)))
12.0ms
(/ (- y x) (/ t z))

series74.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ x (/ (- y x) (/ t z)))
41.0ms
(/ (- y x) (/ t z))

simplify61.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0618976
12232923
25001920

prune271.0ms

Filtered
127 candidates to 93 candidates (73.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t z) (- y x))))
0.5b
(/ 1 (/ (/ t z) (- y x)))
6.9b
(/ (/ t z) (- y x))

rewrite338.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
463×*-un-lft-identity
460×add-sqr-sqrt
328×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
33×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip-- add-log-exp
4×pow1
3×expm1-log1p-u rec-exp fma-def 1-exp log1p-expm1-u
2×frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 434
Calls
3 calls:
277.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
21.0ms
(/ 1 (/ (/ t z) (- y x)))
9.0ms
(/ (/ t z) (- y x))

series129.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
49.0ms
(/ 1 (/ (/ t z) (- y x)))
42.0ms
(/ (/ t z) (- y x))

simplify68.0ms

Algorithm
egg-herbie
Counts
443 → 443
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014334545
150013688

prune672.0ms

Filtered
443 candidates to 213 candidates (48.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ z t) (- y x)))
6.9b
(* (/ z t) (- y x))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
36×prod-diff
35×add-cube-cbrt
22×distribute-rgt-in associate-+r+ distribute-lft-in
13×associate-*l*
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 sub-neg add-log-exp
3×fma-def
2×expm1-log1p-u frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 100
Calls
2 calls:
6.0ms
(+ x (* (/ z t) (- y x)))
17.0ms
(* (/ z t) (- y x))

series89.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (* (/ z t) (- y x)))
55.0ms
(* (/ z t) (- y x))

simplify59.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0484808
11905558
25001544

prune208.0ms

Filtered
106 candidates to 68 candidates (64.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample531.0ms

Algorithm
intervals
Results
274.0ms10669×body80valid